* This extension to Volume A presents a systematic treatment of the maximal subgroups and minimal supergroups of the crystallographic plane groups and space groups * The second edition contains new chapters on building trees of group-subgroup relations for crystal structures that can be derived from an aristotype and on the Bilbao Crystallographic Server, and a detailed discussion of the listed supergroup data * Essential for those interested in phase transitions, the systematic compilation of crystal structures and twinning phenomena

Introduction to Liquid Crystals: Chemistry and Physics, Second Edition relies on only introductory level chemistry and physics as the foundation for understanding liquid crystal science. Liquid crystals combine the material properties of solids with the flow properties of fluids. As such they have provided the foundation for a revolution in low-power, flat-panel display technology (LCDs). In this book, the essential elements of liquid crystal science are introduced and explained from the perspectives of both the chemist and physicist. This new edition relies on only introductory level physics and chemistry as the foundation for understanding liquid crystal science and is, therefore, ideal for students and recent graduates. Features Introduces and explains the essential elements of liquid crystal science, including discussion of how liquid crystals have been utilized for innovative and important applications. New to this edition are over 300 figures, 90 end-of chapter exercises, and an increased scope that includes recent developments. Combines the knowledge of two eminent scientists in the field; they have fully updated and expanded the text to cover undergraduate/graduate course work as well as current research in what is now a billion-dollar industry. Immerses the reader in the vocabulary, structures, data, and kinetic models, rapidly building up an understanding of the theories and models in current use. Begins with a historical account of the discovery of liquid crystals and continues with a description of how different phases are generated and how different molecular architectures affect liquid crystal properties.

This book walks you through the fundamental deformation and damage mechanisms. It lends the reader the key to open the doors into the maze of deformation/fracture phenomena under various loading conditions. Furthermore it provides the solution method to material engineering design and analysis problems, for those working in the aerospace, automotive or energy industries. The book introduces the integrated creep-fatigue theory (ICFT) that considers holistic damage evolution from surface/subsurface crack nucleation to propagation in coalescence with internally-distributed damage/discontinuities.

The field of crystal engineering concerns the design and synthesis of molecular crystals with desired properties. This requires an in-depth understanding of the intermolecular interactions within crystal structures. This new book brings together the latest information and theories about intermolecular bonding, providing an introductory text for graduates. The book is divided into three parts. The first part covers the nature, physical meaning and methods for identification and analysis of intermolecular bonds. The second part explains the different types of bond known to occur in molecular crystals, with each chapter written by a specialist in that specific bond type. The final part discusses the cooperativity effects of different bond types present in one solid. This comprehensive textbook will provide a valuable resource for all students and researchers in the field of crystallography, materials science and supramolecular chemistry.

Liquid Crystal Sensors discusses novel applications of liquid crystals that lie beyond electrically driven optical switches and displays. The main focus is on recent progress in the area of sensors based on low molar mass and polymer liquid crystals. This area of research became "hot" in recent years since the possibilities for applications of liquid crystal sensors are growing in many areas, ranging from the detection of mechanical displacements to the detection of environmental pollutants and chemical agents. This book is well-suited for students, as well as scientists from different backgrounds. For students and researchers new to the field, it gives a thorough introduction. For experienced researchers it shows the latest breakthroughs and serves as an inspiration for solving problems or sparking new ideas. Key Features: Emphasizes how liquid crystals are extremely sensitive to external stimuli and therefore can be used for the construction of stimuli-responsive devices, such as sensors Includes the contributions of editors who are deeply involved in the field and author chapters on hot topics such as the sensitivity of liquid crystals to pollutants, UV light, and strain Provides an exclusive on LC sensors where having the data in one place will be very useful to the community Gives more information on sensors and broadens the scope by having a contributed volume rather than authored Combines recent data on advances in the area of liquid crystal sensors that includes many types of liquid crystal materials

This new fourth edition of the standard text on atomic-resolution transmission electron microscopy (TEM) retains previous material on the fundamentals of electron optics and aberration correction, linear imaging theory (including wave aberrations to fifth order) with partial coherence, and multiple-scattering theory. Also preserved are updated earlier sections on practical methods, with detailed step-by-step accounts of the procedures needed to obtain the highest quality images of atoms and molecules using a modern TEM or STEM electron microscope. Applications sections have been updated - these include the semiconductor industry, superconductor research, solid state chemistry and nanoscience, and metallurgy, mineralogy, condensed matter physics, materials science and material on cryo-electron microscopy for structural biology. New or expanded sections have been added on electron holography, aberration correction, field-emission guns, imaging filters, super-resolution methods, Ptychography, Ronchigrams, tomography, image quantification and simulation, radiation damage, the measurement of electron-optical parameters, and detectors (CCD cameras, Image plates and direct-injection solid state detectors). The theory of Scanning transmission electron microscopy (STEM) and Z-contrast are treated comprehensively. Chapters are devoted to associated techniques, such as energy-loss spectroscopy, Alchemi, nanodiffraction, environmental TEM, twisty beams for magnetic imaging, and cathodoluminescence. Sources of software for image interpretation and electron-optical design are given.

This book presents the reader with a fresh and unconventional approach to teaching crystallographic symmetry. Whereas traditional crystallography textbooks make a heavy use of algebra and rapidly become very technical, this book adopts in the first few chapters a 'pictorial' approach based on the symmetry diagrams of the International Tables for Crystallography. Readers are led step-by-step through simple 'frieze' and 'wallpaper' patterns, with many examples from the visual arts. At the end of chapter 3 they should be able to identify and analyse all these simple symmetries and apply to them the nomenclature and symbols of the International Tables. Mathematical formalism is introduced later on in the book, and by that time the reader will have gained a solid intuitive grasp of the subject matter. This book will provide graduate students, advanced undergraduate students and practitioners in physics, chemistry, earth sciences and structural biology with a solid foundation to master the International Tables of Crystallography, and to understand the relevant literature.

The fascinating world of intermetallics is largely unexplored. There are many exciting physical properties and important technological applications of intermetallics, from magnetism to superconductivity. The main focus of this book is on the statistics, topology and geometry of crystal structures and structure types of intermetallic phases. The underlying physics, in particular chemical bonding, is discussed whenever it helps understand the stability of structures and the origin of their physical properties. The authors' approach, based on the statistical analysis of more than twenty thousand intermetallic compounds in the data base Pearson's Crystal Data, uncovers important structural relationships and illustrates the relative simplicity of most of the general structural building principles. It also shows that a large variety of actual structures can be related to a rather small number of aristotypes. The text aims to be readable and beneficial in one way or another to everyone interested in intermetallic phases, from graduate students to experts in solid state chemistry and physics, and materials science. For that purpose it avoids the use of enigmatic abstract terminology for the classification of structures. Instead, it focuses on the statistical analysis of crystal structures and structure types in order to draw together a larger overview of intermetallics, and indicate the gaps in it - areas still to be explored, and potential sources of worthwhile research. The text should be read as a reference guide to the incredibly rich world of intermetallic phases.

'To summarise, Professor Ladd has written a highly engaging text designed to provide the underlying principles of crystal structure determination through X-ray diffraction data. This text would be most appropriate for an early stage postgraduate or researcher interested in learning both the underlying principles of crystallography and gaining some practice with structure-solving software.'Contemporary PhysicsDesigned for those who wish to understand and engage with the principles behind the process of crystal structure determination by X-ray diffraction, this title contains a comprehensive series of chapters, each of which concludes with a set of problems, for which solutions are provided. An ideal resource for senior undergraduates and early-stage postgraduates, The Essence of Crystallography has an accompanying website with programs written for the text, including an interactive simulation of crystal structure determination using prepared intensity data sets.

The scanning tunneling microscope and the atomic force microscope, both capable of imaging and manipulating individual atoms, were crowned with the Nobel Prize in Physics in 1986, and are the cornerstones of nanotechnology today. The first edition of this book has nurtured numerous beginners and experts since 1993. The second edition is a thoroughly updated version of this 'bible' in the field. The second edition includes a number of new developments in the field. Non-contact atomic-force microscopy has demonstrated true atomic resolution. It enables direct observation and mapping of individual chemical bonds. A new chapter about the underlying physics, atomic forces, is added. The chapter on atomic force microscopy is substantially expanded. Spin-polarized STM has enabled the observation of local magnetic phenomena down to atomic scale. A pedagogical presentation of the basic concepts is included. Inelastic scanning tunneling microscopy has shown the capability of studying vibrational modes of individual molecules. The underlying theory and new instrumentation are added. For biological research, to increase the speed of scanning to observe life phenomena in real time is a key. Advances in this direction are presented as well. The capability of STM to manipulate individual atoms is one of the cornerstones of nanotechnology. The theoretical basis and in particular the relation between tunneling and interaction energy are thoroughly presented, together with experimental facts.

The year 2012 marked the centenary of one of the most significant discoveries of the early twentieth century, the discovery of X-ray diffraction (March 1912, by Laue, Friedrich and Knipping) and of Bragg's law (November 1912). The discovery of X-ray diffraction confirmed the wave nature of X-rays and the space-lattice hypothesis. It had two major consequences: the analysis of the structure of atoms, and the determination of the atomic structure of materials. This had a momentous impact in chemistry, physics, mineralogy, material science, biology and X-ray spectroscopy. The book relates the discovery itself, the early days of X-ray crystallography, and the way the news of the discovery spread round the world. It explains how the first crystal structures were determined by William Bragg and his son Lawrence, and recounts which were the early applications of X-ray crystallography in chemistry, mineralogy, materials science, physics, biological sciences and X-ray spectroscopy. It also tells how the concept of space lattice developed since ancient times up to the nineteenth century, and how our conception of the nature of light has changed over time. The contributions of the main actors of the story, prior to the discovery, at the time of the discovery and immediately afterwards, are described through their writings and are put into the context of the time, accompanied by brief biographical details. This thoroughly researched account on the multiple faces of a scientific specialty, X-ray crystallography, is aimed both at the scientists, who rarely subject the historical material of past discoveries in their field to particular scrutiny with regard to the historical details and at the historians of science who often lack the required expert knowledge to scrutinize the involved technical content in sufficient depth (M. Eckert - Metascience).

This book provides a clear and very broadly based introduction to crystallography, light, X-ray and electron diffraction - a knowledge which is essential to students in a wide range of scientific disciplines but which is otherwise generally covered in subject-specific and more mathematically detailed texts. The text is also designed to appeal to the more general reader since it shows, by historical and biographical references, how the subject has developed from the work and insights of successive generations of crystallographers and scientists. The book shows how an understanding of crystal structures, both inorganic and organic may be built up from simple ideas of atomic and molecular packing. Beginning with (two dimensional) examples of patterns and tilings, the concepts of lattices, symmetry point and space groups are developed. 'Penrose' tilings and quasiperiodic structures are also included. The reciprocal lattice and its importance in understanding the geometry of light, X-ray and electron diffraction patterns is explained in simple terms, leading to Fourier analysis in diffraction, crystal structure determination, image formation and the diffraction-limited resolution in these techniques. Practical X-ray and electron diffraction techniques and their applications are described. A recurring theme is the common principles: the techniques are not treated in isolation. The fourth edition has been revised throughout, and includes new sections on Fourier analysis, Patterson maps, direct methods, charge flipping, group theory in crystallography, and a new chapter on the description of physical properties of crystals by tensors (Chapter 14).

Plasmonic nanoparticles (NPs) represent an outstanding class of nanomaterials that have the capability to localize light at the nanoscale by exploiting a phenomenon called localized plasmon resonance. The book is aimed at reviewing recent efforts devoted to utilize NPs in many research fields, such as photonics, optics, and plasmonics. In this framework, particular interest is devoted to active plasmonics, a quite broad concept that indicates those applications in which NPs play an active role, like realization of gain-assisted means, utilization of NPs embedded in liquid crystalline and flexible materials, and exploitation of renewable solar energy. The book puts together contributions from outstanding research groups in the field of plasmonic nanomaterials all over the world. It provides basic and advanced knowledge in the fields of plasmonics, photonics, and optics and covers research on plasmonic nanomaterials for applications ranging from plasmonics to photonics.

Kepler's essay, On the Six-Cornered Snowflake, provides the first published evidence of the ideas of regular arrangements and close-packing which have proved fundamental to crystallography. In it, Kepler ponders on the problem of why snowflakes are hexagonal, two centuries before the first successful steps were taken towards its solution. The purpose of this volume is to display the historical, literary, scientific, and philosophical treasures of Kepler's essay. The book includes the modernized text of the 1611 Latin edition, with an English translation by Colin Hardie on the opposite pages. The text is accompanied by an introduction giving details of the history of the work, and two essays; Professor B. J. Mason's discussion of the scientific meaning and validity of Kepler's arguments and their relation to the history of crystallography and of space filling, and L. L. Whyte's examination of Kepler's facultas formatrix in relation to the history of philosophical and scientific ideas on the genesis of forms.

Small-angle scattering of X-rays (SAXS) and neutrons (SANS) is an established method for the structural characterization of biological objects in a broad size range from individual macromolecules (proteins, nucleic acids, lipids) to large macromolecular complexes. SAXS/SANS is complementary to the high resolution methods of X-ray crystallography and nuclear magnetic resonance, allowing for hybrid modeling and also accounting for available biophysical and biochemical data. Quantitative characterization of flexible macromolecular systems and mixtures has recently become possible. SAXS/SANS measurements can be easily performed in different conditions by adding ligands or binding partners, and by changing physical and/or chemical characteristics of the solvent to provide information on the structural responses. The technique provides kinetic information about processes like folding and assembly and also allows one to analyze macromolecular interactions. The major factors promoting the increasingly active use of SAXS/SANS are modern high brilliance X-ray and neutron sources, novel data analysis methods, and automation of the experiment, data processing and interpretation. In this book, following the presentation of the basics of scattering from isotropic macromolecular solutions, modern instrumentation, experimental practice and advanced analysis techniques are explained. Advantages of X-rays (rapid data collection, small sample volumes) and of neutrons (contrast variation by hydrogen/deuterium exchange) are specifically highlighted. Examples of applications of the technique to different macromolecular systems are considered with specific emphasis on the synergistic use of SAXS/SANS with other structural, biophysical and computational techniques.

In 1984 physicists discovered a monster in the world of crystallography, a structure that appeared to contain five-fold symmetry axes, which cannot exist in strictly periodic structures. Such quasi-periodic structures became known as quasicrystals. A previously formulated theory in terms of higher dimensional space groups was applied to them and new alloy phases were prepared which exhibited the properties expected from this model more closely. Thus many of the early controversies were dissolved. In 2011, the Nobel Prize for Chemistry was awarded to Dan Shechtman for the discovery of quasicrystals. This primer provides a descriptive approach to the subject for those coming to it for the first time. The various practical, experimental, and theoretical topics are dealt with in an accessible style. The book is completed by problem sets and there is a computer program that generates a Penrose lattice.

For many years it was believed that translational symmetry would be the fundamental property of crystal structures of natural and synthetic compounds. It is now recognised that many compounds crystallise without translational symmetry of their atomic structures. "Incommensurate Crystallography" gives a comprehensive account of the superspace theory for the description of crystal structures and symmetries of these incommensurately modulated crystals and incommensurate composite crystals. It thus provides the necessary background for quantitative analysis of incommensurate crystals by methods in Solid State Chemistry and Solid State Physics. The second half of "Incommensurate Crystallography" is devoted to crystallographic methods of structural analysis of incommensurate compounds. Thorough accounts are given of the diffraction by incommensurate crystals, the choice of parameters in structure refinements, and the use of superspace in analysing crystal structures. The presentation of methods of structure determination includes modern methods like the Maximum Entropy Method and Charge Flipping.

This is the first book covering the theory, practicalities, and the extensive applications of neutron powder diffraction in materials science, physics, chemistry, mineralogy and engineering. Various highlight applications of neutron powder diffraction are outlined in the introduction, then the theory is developed and instrumentation described sufficient for a return to the applications. The book covers the use of neutron powder diffraction in the solution (hard) and refinement (more straightforward) of crystal and magnetic structures, applications of powder diffraction in quantitative phase analysis, extraction of microstructural information from powder diffraction patterns, and the applications of neutron diffraction in studies of elastic properties and for the measurement of residual stress. Additional theory to underpin these various applications is developed as required. Much of the material should be accessible to senior undergraduates in science and engineering, as well as to graduate students and more senior researchers with an interest in the technique.

Neutron Protein Crystallography is one of the first books dedicated to the emerging field of neutron protein crystallography (NPC). The text covers all of the practical aspects of NPC, from the basic background of neutron scattering and diffraction, to the technical details of neutron facilities, growth of high-quality crystals, and data analysis. The final chapter is devoted to providing many examples of using NPC to investigate a wide range of different proteins. It demonstrates how NPC can explore hydrogen bonds, protonation and deprotonation of amino acid residues, hydration structures, and hydrogen-to-deuterium exchange ratios.
To avoid redundancy with other textbooks on X-ray protein crystallography (XPC), this book assumes a familiarity with the basics of XPC and strives to highlight and explain the differences between XPC and NPC. It is therefore especially useful for X-ray protein crystallographers who are eager to have a sound, scientific basis for judging if NPC is the right technique for furthering their experimental programs.

This book aims to explain how and why the detailed three-dimensional architecture of molecules can be determined by an analysis of the diffraction patterns obtained when X rays or neutrons are scattered by the atoms in single crystals. Part 1 deals with the nature of the crystalline state, diffraction generally, and diffraction by crystals in particular, and, briefly, the experimental procedures that are used. Part II examines the problem of converting the experimentally obtained data into a model of the atomic arrangement that scattered these beams. Part III is concerned with the techniques for refining the approximate structure to the degree warranted by the experimental data. It also describes the many types of information that can be learned by modern crystal structure analysis. There is a glossary of terms used and several appendixes to which most of the mathematical details have been relegated.

This book aims to explain how and why the detailed three-dimensional architecture of molecules can be determined by an analysis of the diffraction patterns obtained when X rays or neutrons are scattered by the atoms in single crystals. Part 1 deals with the nature of the crystalline state, diffraction generally, and diffraction by crystals in particular, and, briefly, the experimental procedures that are used. Part II examines the problem of converting the experimentally obtained data into a model of the atomic arrangement that scattered these beams. Part III is concerned with the techniques for refining the approximate structure to the degree warranted by the experimental data. It also describes the many types of information that can be learned by modern crystal structure analysis. There is a glossary of terms used and several appendixes to which most of the mathematical details have been relegated.

This book gives the complete theory of the irreducible representations of the crystallographic point groups and space groups. This is important in the quantum-mechanical study of a particle or quasi-particle in a molecule or crystalline solid because the eigenvalues and eigenfunctions of a system belong to the irreducible representations of the group of symmetry operations of that system. The theory is applied to give complete tables of these representations for all the 32 point groups and 230 space groups, including the double-valued representations. For the space groups, the group of the symmetry operations of the k vector and its irreducible representations are given for all the special points of symmetry, lines of symmetry and planes of symmetry in the Brillouin zone. Applications occur in the electronic band structure, phonon dispersion relations and selection rules for particle-quasiparticle interactions in solids. The theory is extended to the corepresentations of the Shubnikov (black and white) point groups and space groups.